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What is the Square Root of 13788?

The square root of 13788 is 117.4223147447. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13788 = 117.4223147447
CalculatedNon-perfect squareIrrational
Exact form√13788
Perfect squareNo
Number typeIrrational
Verification117.42231474472 ≈ 13788

On this page

How the answer is calculated

We solve x2 = 13788. The resulting value is x = 117.4223147447.

Verification: 117.42231474472 ≈ 13788.

Simplified radical form

The square root of 13788 in simplified radical form is 6√383.

This is equivalent to √13788, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11713689
Upper or equal11813924

Nearby square roots

NumberSquare root
√13785117.4095396465
√13786117.413798167
√13787117.4180565331
√13788117.4223147447
√13789117.4265728019
√13790117.4308307047
√13791117.4350884532

Number properties

Is 13788 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13788 is irrational because 13788 is not a perfect square.

Visual guide

Square Root function graph

See how the result changes as the input moves across positive and negative values. Square roots are shown for non-negative inputs; cube roots continue through negative inputs.

Common questions

Frequently asked questions

It asks for the number that, when raised to the power of 2, equals 13788.